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This paper presents a deep learning strategy to simultaneously solve Partial Differential Equations (PDEs) and back-calculate their parameters in the context of deep tunnel excavation. A Physics-Informed Neural Network (PINN) model is…

Computational Physics · Physics 2026-05-29 Alec Tristani , Chloé Arson

We propose a new numerical scheme designed for a wide class of structured population models based on the idea of operator splitting and particle approximations. This scheme is related to the Escalator Boxcar Train (EBT) method commonly used…

Analysis of PDEs · Mathematics 2013-06-10 J. A. Carrillo , P. Gwiazda , A. Ulikowska

We present TRACE-CS, a novel hybrid system that combines symbolic reasoning with large language models (LLMs)to address contrastive queries in course scheduling problems. TRACE-CS leverages logic-based techniques to encode scheduling…

Artificial Intelligence · Computer Science 2025-09-03 Stylianos Loukas Vasileiou , William Yeoh

In this paper, we present a method to generate compact geometric track-maps for train-borne localization applications. Therefore, we first give a brief overview on the purpose of track maps in train-positioning applications. It becomes…

Machine Learning · Computer Science 2019-09-04 Hanno Winter , Stefan Luthardt , Volker Willert , Jürgen Adamy

This paper presents eXtended Physics-Informed Neural Network (X-PINN), a novel and robust framework for addressing fracture mechanics problems involving multiple cracks in fractured media. To address this, an energy-based loss function,…

Machine Learning · Computer Science 2025-09-18 Amin Lotfalian , Mohammad Reza Banan , Pooyan Broumand

We introduce a new pattern recognition algorithm for track finding in High Energy Physics Experiments based on an extension of the Hough Transform to multiple dimensions. A remarkable property of this algorithm is that the execution time is…

High Energy Physics - Experiment · Physics 2024-02-07 Luciano Ristori

Recent years have seen the successful application of deep learning to software engineering (SE). In particular, the development and use of pre-trained models of source code has enabled state-of-the-art results to be achieved on a wide…

Software Engineering · Computer Science 2022-05-25 Changan Niu , Chuanyi Li , Bin Luo , Vincent Ng

Physics-informed neural networks (PINNs) have been popularized as a deep learning framework that can seamlessly synthesize observational data and partial differential equation (PDE) constraints. Their practical effectiveness however can be…

Machine Learning · Computer Science 2023-08-17 Sifan Wang , Shyam Sankaran , Hanwen Wang , Paris Perdikaris

Physics-informed neural networks (PINNs) integrate fundamental physical principles with advanced data-driven techniques, driving significant advancements in scientific computing. However, PINNs face persistent challenges with stiffness in…

Machine Learning · Computer Science 2024-07-30 Pancheng Niu , Yongming Chen , Jun Guo , Yuqian Zhou , Minfu Feng , Yanchao Shi

In vehicle trajectory prediction, physics models and data-driven models are two predominant methodologies. However, each approach presents its own set of challenges: physics models fall short in predictability, while data-driven models lack…

Machine Learning · Computer Science 2024-03-22 Keke Long , Zihao Sheng , Haotian Shi , Xiaopeng Li , Sikai Chen , Sue Ahn

New features of the Mathematica code FIRE are presented. In particular, it can be applied together with the recently developed code LiteRed by Lee in order to provide an integration by parts reduction to master integrals for quite…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. V. Smirnov , V. A. Smirnov

This paper introduces PINT (Physics-Informed Neural Time Series Models), a framework that integrates physical constraints into neural time series models to improve their ability to capture complex dynamics. We apply PINT to the ERA5…

Machine Learning · Computer Science 2025-07-18 Keonvin Park , Jisu Kim , Jaemin Seo

Training machine learning (ML) algorithms is a computationally intensive process, which is frequently memory-bound due to repeatedly accessing large training datasets. As a result, processor-centric systems (e.g., CPU, GPU) suffer from…

Hardware Architecture · Computer Science 2023-09-07 Juan Gómez-Luna , Yuxin Guo , Sylvan Brocard , Julien Legriel , Remy Cimadomo , Geraldo F. Oliveira , Gagandeep Singh , Onur Mutlu

The MARS code is under continuous development and has recently undergone substantial improvements that further increase its reliability and predictive power in numerous shielding, accelerator, detector and space applications. The major…

Instruction tuning has been used as a promising approach to improve the performance of large language models (LLMs) on unseen tasks. However, current LLMs exhibit limited robustness to unseen instructions, generating inconsistent outputs…

Computation and Language · Computer Science 2024-06-07 Tianyi Lorena Yan , Fei Wang , James Y. Huang , Wenxuan Zhou , Fan Yin , Aram Galstyan , Wenpeng Yin , Muhao Chen

Process-mining techniques have emerged as powerful tools for analyzing event data to gain insights into business processes. In this paper, we present a comprehensive analysis of road traffic fine management processes using the pm4py library…

Artificial Intelligence · Computer Science 2024-09-18 Ali Jlidi , László Kovács

In this work, we perform Bayesian inference tasks for the chemical master equation in the tensor-train format. The tensor-train approximation has been proven to be very efficient in representing high dimensional data arising from the…

An efficient and versatile implementation of offline multiple hypothesis tracking with Algorithm X for optimal association search was developed using Python. The code is intended for scientific applications that do not require online…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Peteris Zvejnieks , Mihails Birjukovs , Martins Klevs , Megumi Akashi , Sven Eckert , Andris Jakovics

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

Numerical Analysis · Mathematics 2024-11-20 Tim De Ryck , Siddhartha Mishra

Deep learning has brought significant advancements to X-ray Computed Tomography (CT) reconstruction, offering solutions to challenges arising from modern imaging technologies. These developments benefit from methods that combine classical…

Machine Learning · Computer Science 2025-11-12 Linda-Sophie Schneider , Yipeng Sun , Chengze Ye , Markus Michen , Andreas Maier